This result singularly resembles the famous partition function of Boltzmann, which is not necessary for the present model but is shown to recall that the exponential probability is the basis of statistical mechanics in general. Efforts have been made to derive the Arrhenius equation from statistical mechanics [1]}, [2]}. The present proposal is an effort of maximal reduction suggesting that statistical mechanics and the structure of the Arrhenius equation have a common origin: the simple exponential probability. The exponential probability is indeed sufficient to rigorously recover the energetic part of the Arrhenius law, as shown below.
